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Finding the Fourth Proportional to 6,744.56, 10,119.24 and 3,459.20

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Solution

The fourth proportional to 6,744.56, 10,119.24 and 3,459.20 is: 5,190.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.56 : 10,119.24 = 3,459.20 : x
  2. Step 2: Convert to fraction form
    6,744.56/10,119.24 = 3,459.20/x
  3. Step 3: Cross multiply
    6,744.56x = 10,119.24 × 3,459.20
  4. Step 4: Simplify right side
    6,744.56x = 35,004,475.01
  5. Step 5: Solve for x
    x = 35,004,475.01/6,744.56
  6. Step 6: Final answer
    x = 5,190.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.